**Denis Bell**

Professor of Mathematics

Department of Mathematics

University of North Florida

Jacksonville, FL 32224

(904) 620-2653

dbell@unf.edu

**Education**

B.Sc. University of Manchester, 1976

M.Sc. University of Manchester, 1977

Ph.D. University of Warwick, 1982

**Area of Research**

*Stochastic analysis and related areas of mathematics.*In particular: Borel measures on vector spaces. Stochastic differential equations and Malliavin calculus. Partial differential equations, hypoellipticity theory and boundary-value problems. Stochastic differential geometry. Biological and financial models.

**Selected Publications**

- A quasi-invariance theorem for measures on Banach spaces
*.**Trans. Amer. Math. Soc.***290**(1985) 851-855. *The Malliavin Calculus.*Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 34*.*Longman, Essex; Wiley, NY, 1987 (second edition published by Dover, 2006).- The Malliavin calculus and stochastic delay equations (with S. Mohammed)
*.**J. Funct. Anal.***99**(1991) 75-99. - An extension of Hormander's theorem for infinitely degenerate second-order operators (with S. Mohammed)
*.**Duke Math. J.***78 (**1995) 453 - 475. - The Gauss-Bonnet theorem for vector bundles
*.**J. Geom.***85** - Divergence theorems in path space III: hypoelliptic diffusions and beyond.
*J. Funct. Anal.***252**, no. 1 (2007) 232-253.

**Publications **(with links to on-line papers)

**Office Hours** Spring 2015

Tuesday 12:00 pm - 1:30 pm

Thursday 5:30 pm - 7:00 pm